The maximum error in the measurement of resistance, current and t… - Vidyadip

MCQ

The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are $1 \%, 2 \%$ and $3 \%$ respectively. The maximum percentage error in the detection of the dissipated heat will be

A
$2$
B
$4$
C
$6$
✓
$8$

✓

Answer

Correct option: D.

$8$

d
$E _{ H }= I ^{2} R \times t$

$\frac{\Delta E }{ E } \times 100=\frac{2 \Delta I }{ I } \times 100+\frac{\Delta R }{ R } \times 100+\frac{\Delta T }{ T } \times 100$

$=2 \times 2+1+3=8$

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